geometry
Published on Nov 21, 2015
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PRESENTATION OUTLINE
Table of Contents
- pg. 1-3: Lines
- pg. 4-7: Point
- pg. 8-10: Classifying angles
- pg. 11-14: Congruent angle
- Pg. 15-17: Supplimentary and complimentary angles
Photo by duegnazio
TABLE OF CONTENT CONTINUED...
- pg. 18 Scalene triangles
- pg. 19 isosceles triangles
- pg. 20 Equalateral triangles
- pg. 21 Rectangle = p&A
- pg. 22 Square = P&A
Photo by Jason A. Samfield
CONTINUED...TC
- Pg; 23 ,P&A of a triangle
- Pg; 24 ,D&A&C of a circle
- Pg; 25 , Volume and Surface Area of cube
- Pg; 26 : A,C,V,SA
Photo by ginnerobot
Power lines are very similar to roads because the go everywhere and are non stop. they go opposite directions and never end.
Photo by minnepixel
These types of lines you never really realize they're in the real world besides geometry
Photo by NASA's Marshall Space Flight Center
They have no width
Photo by Paul Nicholson
They have no Length
Photo by Daniel Kulinski
And they have no hieght
Photo by jenny downing
Acute angle
- An acute angle is below 90 degrees
- this buildings acute angle was 84 degrees
Photo by Eva the Weaver
RIGHT ANGLES
- Every right angle is 90 degrees
- my picture is a basketbal court on a rainy day
- it had 23 right angles
Photo by tim caynes
Obtuse Angles
- obtuse angles are more than 90 degrees
- as are straigh angles but straight angle measure up to 180
- this spider web was 167 degrees and really scar to measure
Photo by mliu92
CONGRUENT ANGLES
Photo by Jason A. Samfield
congruent angles are angles that have the same measures just like this pyramid head the side were 4" length on each side
Photo by delphaber
this window has two 90 degree angles which make hem congruent.
Photo by danielito311
COMPLIMENTARY ANGLES
ARE TWO MEASURES THAT ADD UP TO 90 DEGREES
in this page i put a picture of envilopes because you would never notice that it has complementary angles in them i made a measurement of my own envilope and both angles are 45 degrees which did add up to 90 degrees.
Untitled Slide
Supplementary Angles
ANGLES WHOSE MESURES ARE 180 DEGREES
in this picture its a picture i found online i dont know what measurements are but as you can see there is a straight angle with a line going through that looks like an equal thing that adds up to 180
Untitled Slide
SCALENE TRIANGLES
it has three uneequal sides
~ no equal sides
~no equal Angles
A good example would be that the sides wont be equal such as #1 is 4ft , #2 is 7ft and #3 is 9ft
this would equal 20ft
~no equal Angles
A good example would be that the sides wont be equal such as #1 is 4ft , #2 is 7ft and #3 is 9ft
this would equal 20ft
Iscosceles Triangles
WHEN TWO SIDES OF THE TRIANGLE ARE THE SAME
this is when the two sides of the triangle are the same such as show in the picture
a good example would be that side #1 is 4in side #2 is 4in and the base would be 8in
this would equal 16in
a good example would be that side #1 is 4in side #2 is 4in and the base would be 8in
this would equal 16in
it is when all sides are equal
this is when all sides are equal
a good example would be that one side is 2cm the second side would be 2cm and the third side is 2cm
this would equal to 6cm
a good example would be that one side is 2cm the second side would be 2cm and the third side is 2cm
this would equal to 6cm
P&A of a rectangle
- Permeter
- P=(2l)+(2w)
- Area
- A=(lw)
Solution #1
P=8cm+8cm+3cm+3cm=
P=22cm
Solution #2
P=2(8cm)+2(3cm)
P=16cm+6cm=
P=22cm
Solution #3 Area
A=(8cm)(3cm)
A=24cm
P=8cm+8cm+3cm+3cm=
P=22cm
Solution #2
P=2(8cm)+2(3cm)
P=16cm+6cm=
P=22cm
Solution #3 Area
A=(8cm)(3cm)
A=24cm
Photo by lonely radio
P&A of a Square
- Perimeter of a square is
- P=4(s)
- Area of a square is
- A=(S)(S)
Solution #1
P=2in+2in+2in+2in
P=8in
Solution #2
P=(4)2in
P=8in
Solution #3
A=(2in)(2in)
A=4in
P=2in+2in+2in+2in
P=8in
Solution #2
P=(4)2in
P=8in
Solution #3
A=(2in)(2in)
A=4in
Photo by <Fernando>
P&A OF A TRiangle
- Perimeter
- P=A+B+C
- Area
- A=1/2(B)(H)
Solution #1
Perimeter of a equilateral triangle
P=4cm+4cm+4cm=
p=12cm
Solution #2
Area
A=1/2(4cm)(4cm)
A=1/2(16cm)
A=*cm
Perimeter of a equilateral triangle
P=4cm+4cm+4cm=
p=12cm
Solution #2
Area
A=1/2(4cm)(4cm)
A=1/2(16cm)
A=*cm
Photo by Natalia Romay Photography
D&A&C of a circle
- Diameter=(2)(r)
- Circumference
- C=(2)(3.14)(r)
- Area
- A=(3.14)(r)(r)
Radius=4cm
Diameter
D=(2)(4cm)
D=8cm
Circumference
C=(2)(3.14)(4cm)
C=(8cm)(3.14)
C=25.1cm
Area
A=(3.14)(4cm)(4cm)
A=(3.14)(16cmSquared)
A=50.2cm Squared
Diameter
D=(2)(4cm)
D=8cm
Circumference
C=(2)(3.14)(4cm)
C=(8cm)(3.14)
C=25.1cm
Area
A=(3.14)(4cm)(4cm)
A=(3.14)(16cmSquared)
A=50.2cm Squared
Photo by zedworks
V&SA of a Rectangular Prism
- V=LWH (length x Width x Height)
- SA= 2LW + 2HW + 2LH
Solution #1
Length=1ft
Width=1ft
Height=3ft
V=1x1x3
V=1x3
V=3ftCubed
SA=2(1)(1)+2(3)(1)+2(1)(3)
SA=2+6+6
SA=2+12
SA=14ftsq
Length=1ft
Width=1ft
Height=3ft
V=1x1x3
V=1x3
V=3ftCubed
SA=2(1)(1)+2(3)(1)+2(1)(3)
SA=2+6+6
SA=2+12
SA=14ftsq
Photo by paloetic
V,C,A,SA of a cylinder
- Volume=BxH area of base x Height
- Circumference=2x3.14xRadius
- Area=3.14xRadiusxRadius
- Surface Area=2(B)+Ch=(2x Area of base)+Circumference x Hieght
solution #1
A=3.14x2x2
A=3.14x4
A=12.5insq
C=2x3.14x2
C=4x3.14
V=12.5x6
V=75cmcubed
SA=2(12.5)+(12.5)(6)
SA=25+75
SA=100cmsq
A=3.14x2x2
A=3.14x4
A=12.5insq
C=2x3.14x2
C=4x3.14
V=12.5x6
V=75cmcubed
SA=2(12.5)+(12.5)(6)
SA=25+75
SA=100cmsq
Photo by sskennel
Centroid
Definiton: point of a concurrency of the three medians of a triangle
Photo by Leo Reynolds
